What does sentential function mean?

Definitions for sentential function
sen·ten·tial func·tion

This dictionary definitions page includes all the possible meanings, example usage and translations of the word sentential function.

Princeton's WordNet

  1. sentential functionnoun

    formal expression containing variables; becomes a sentence when variables are replaced by constants

Wikipedia

  1. sentential function

    An open formula is a formula that contains at least one free variable.An open formula does not have a truth value assigned to it, in contrast with a closed formula which constitutes a proposition and thus can have a truth value like true or false. An open formula can be transformed into a closed formula by applying quantifiers or specifying of the domain of discourse of individuals for each free variable denoted x, y, z....or x1, x2, x3.... This transformation is called capture of the free variables to make them bound variables, bound to a domain of individual constants. For example, when reasoning about natural numbers, the formula "x+2 > y" is open, since it contains the free variables x and y. In contrast, the formula "∃y ∀x: x+2 > y" is closed, and has truth value true. An example of closed formula with truth value false involves the sequence of Fermat numbers F n = 2 2 n + 1 , {\displaystyle F_{n}=2^{2^{n}}+1,} studied by Fermat in connection to the primality. The attachment of the predicate letter P (is prime) to each number from the Fermat sequence gives a set of false closed formulae when the rank n of the Fermat number is greater than 4. Thus the closed formula ∀n P(Fn) is false.

ChatGPT

  1. sentential function

    A sentential function is a mathematical expression involving one or more variables that may be evaluated to a truth value (true or false) once specific values are assigned to these variables. It is often used in propositional logic and can be considered as a generalization of a mathematical statement or proposition.

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Numerology

  1. Chaldean Numerology

    The numerical value of sentential function in Chaldean Numerology is: 3

  2. Pythagorean Numerology

    The numerical value of sentential function in Pythagorean Numerology is: 5

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"sentential function." Definitions.net. STANDS4 LLC, 2024. Web. 19 Mar. 2024. <https://www.definitions.net/definition/sentential+function>.

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